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Q.Body Mass Index is calculated as:

(a) Weight (kg) × Height (m)²
(b) Weight (kg) / Height (m)²
(c) Height (m)² / Weight (kg)
(d) Weight (kg) / Height (cm)
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(b) Weight (kg) / Height (m)².

BMI = (weight in kg)/((height in metres)²), measured in kg/m². Height must be in metres and must be squared; the weight is divided by it, not multiplied.

The idea behind the formula

Body Mass Index answers a simple question: is this person's mass reasonable for their size? Ninety kilograms means something very different on a 1.5 m frame than on a 2.0 m frame. So mass has to be scaled by size — and body mass grows roughly with the square of height across adults, which is why the denominator is h² and not h or h³.

BMI = (weight (kg))/([height (m)]²) (kg/m²)

  • weight — body mass in kilograms.
  • height — in metres (so 165 cm becomes 1.65 m), then squared.
  • BMI — a pure ratio reported in kg/m², to one decimal place.

Working it once

Take a student weighing 60 kg and standing 1.6 m tall:

  1. Square the height: 1.6² = 2.56 m².
  2. Divide the weight by it: 60/2.56 = 23.4 kg/m².
  3. Read the band: 23.4 lies in 18.5–24.9 → Normal on the WHO adult classification.

Reading the result

Important

WHO international adult classification

BMI (kg/m²)Category
Below 18.5Underweight
18.5 – 24.9Normal
25.0 – 29.9Overweight
30.0 and aboveObese

The Asian/Indian (ICMR) cut-offs are stricter — overweight from 23.0 and obese from 25.0. Always say which scale you are applying; the same 23.4 above is Normal on the WHO scale but Overweight on the ICMR one.

Why the other options fail

  • (a) Weight × Height² — multiplying makes the number grow with height, so a tall, lean athlete would score higher than a short, heavy one. The index would reward exactly the wrong thing.
  • (c) Height² / Weight — the reciprocal of the correct formula. A heavier person would get a smaller number, inverting every band.
  • (d) Weight / Height (cm) — two errors: height is not squared, and it is in centimetres. Our 60 kg, 160 cm student would score 60/160 = 0.375, a number that sits on no scale at all. …

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